Finding the Third Proportional to 33,645 and 49,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,645 : 49,816.50 = 49,816.50 : x
2. Step 2: Convert to fraction form
   33,645/49,816.50 = 49,816.50/x
3. Step 3: Cross multiply
   33,645x = 49,816.50 × 49,816.50
4. Step 4: Simplify right side
   33,645x = 2,481,683,672.25
5. Step 5: Solve for x
   x = 2,481,683,672.25/33,645
6. Step 6: Final answer
   x = 73,760.85